Geodesic
Constructing regularization methods in the spaces of differentiable functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 11, pp. 1915-1922 
G. V. Khromova; E. V. Shishkova. Constructing regularization methods in the spaces of differentiable functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 11, pp. 1915-1922. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_11_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The method of finding approximations to a solution and its derivatives is constructed for a certain class of integral Volterra equations of the first kind. Matching conditions for the regularization parameter and the error in the initial data are presented. Sharp (in terms of order) error estimates are obtained for approximate solutions on certain compact classes.

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